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skelet666 [1.2K]
3 years ago
9

First one right gets BRAINLIEST!! If f(x)=x²+2x-3 and g(x)=x²-9, find (f/g) 4 and (f+g)(4)

Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

3 and 28

Step-by-step explanation:

note (\frac{f}{g} )(x ) = \frac{f(x)}{g(x)}

\frac{f(x)}{g(x)}

= \frac{x^2+2x-3}{x^2-9}  and

(\frac{f}{g} )(4) = \frac{4^2+2(4)-3}{4^2-9} = \frac{16+8-3}{16-9} = \frac{21}{7} = 3

-------------------------------------------------------

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² + 2x - 3 + x² - 9 = 2x² + 2x - 12 and

(f + g)(4) = 2(4)² + 2(4) - 12 = 2(16) + 8 - 12 = 32 + 8 - 12 = 28

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A large company put out an advertisement in a magazine for a job
vova2212 [387]

Answer:

<em>C(19)=12 responses</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function can be expressed as follows:

C(t)=C_o\cdot(1-r)^t

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.

This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.

The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:

C(t)=90\cdot(1-0.1)^t

Calculating:

C(t)=90\cdot(0.9)^t

We are required to calculate the number of responses at day t=19, thus:

C(19)=90\cdot(0.9)^{19}

C(19)=12 responses

8 0
3 years ago
What is the sum of the geometric sequence 1,3,9... if there were 11 terms?
Delicious77 [7]

Answer:

88,573

Step-by-step explanation:

3 0
3 years ago
Every integer number is also a. Irrational number b. Whole number c. Natural number d. Rational number
const2013 [10]

Answer:

Option d

Step-by-step explanation:

Other options are not eligible because

a) Integers are not irrational

b)Whole numbers start from 0 and consists positive integers only.But integers consist negative integers also.

c)Natural number consists of positive integers only.

If the question had been asked as some integers are also, then options b) and c) could have been written . But in this case , it is asked every integer is also.

Thank you!

5 0
3 years ago
Elsa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
charle [14.2K]

Heather runs 7 miles in 80 minutes.

At the same rate, how many miles would she run in 64 minutes?

Let x represent miles would she run in 64 minutes?

Question Sets Up the Proportion

7/80= x/63    |Cross Multiplying to solve for x

     x = 7*64/80

     x = 5.6mi

Hope this helps!

7 0
3 years ago
Josh and Lucy share some money in the ratio 3:7. What fraction of the money does Josh receive?
svetlana [45]

Answer:

3/10ths of the money

Step-by-step explanation:

Add together the two numbers to get the total.

Josh gets 30 percent and Lucy gets 70 percent.

3/10

8 0
3 years ago
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